A local Steiner–type formula for general closed sets and applications
A local Steiner–type formula for general closed sets and applications
复制标题
一般闭集的局部 Steiner 型公式及其应用
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
W. Weil
中科院分区：
文献类型：
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作者：
D. Hug;G. Last;W. Weil
摘要：我们引入了任意闭集A的支撑（曲率）测度，并建立了A的局部平行体积的局部Steiner型公式。我们推导出这些支持度量的一些基本性质，并探索它们如何与文献中可用的曲率度量相关。然后，我们利用支撑测度分析了平稳随机闭集的接触分布，特别是一般紧粒子的布尔模型。
Abstract.We introduce support (curvature) measures of an arbitrary closed set A in ℝd and establish a local Steiner–type formula for the localized parallel volume of A. We derive some of the basic properties of these support measures and explore how they are related to the curvature measures available in the literature. Then we use the support measures in analysing contact distributions of stationary random closed sets, with a particular emphasis on the Boolean model with general compact particles.